MATH 100 Final: MATH100 Final Exam 2013 Winter

• School: UBC
• Department: Mathematics
• Course: MATH 100
• Professor: All

Document Summary

Put your answer in the box provided but show your work also. Answer: (b) evaluate the limit lim x 3 x2 + x (cid:0) 12 x (cid:0) 3 (c) if 8x (cid:20) f (x) (cid:20) x2 + 16 for x (cid:21) 0, nd lim x 4 f (x). Page 3 of 13 pages (d) is the following function continuous at a = 1? f (x) = ex x2 if x < 1 if x (cid:21) 1. Page 4 of 13 pages (g) find a function f (x) and a number c such that f (c) = lim x 4. Answer: (h) if f (x) = ex g(x) , where f (1) = (1) = (cid:0)3, nd g (1). and f. Page 5 of 13 pages (j) if a function y = f (x) is de ned implicitly by an equation y + x2y5 = 27, nd dy dx.